Solve -2/3x=8/9

$$- \frac { 2 } { 3 } x = \frac { 8 } { 9 }$$

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=\frac{8}{9}\left(-\frac{3}{2}\right)$$

Multiply \frac{8}{9} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{8\left(-3\right)}{9\times 2}$$

Do the multiplications in the fraction \frac{8\left(-3\right)}{9\times 2}.

$$x=\frac{-24}{18}$$

Reduce the fraction \frac{-24}{18} to lowest terms by extracting and canceling out 6.

$$x=-\frac{4}{3}$$